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4161606768 = 243311875759
BaseRepresentation
bin1111100000001101…
…0001010001110000
3101202000210112021000
43320003101101300
532010332404033
61524541402000
7205062034224
oct37003212160
911660715230
104161606768
111846133840
12981869300
13514255617
142b69c0784
15195548a13
hexf80d1470

4161606768 has 80 divisors (see below), whose sum is σ = 13031308800. Its totient is φ = 1261091520.

The previous prime is 4161606751. The next prime is 4161606773. The reversal of 4161606768 is 8676061614.

4161606768 is a `hidden beast` number, since 416 + 160 + 6 + 76 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 433128 + ... + 442631.

It is an arithmetic number, because the mean of its divisors is an integer number (162891360).

Almost surely, 24161606768 is an apocalyptic number.

4161606768 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

4161606768 is an abundant number, since it is smaller than the sum of its proper divisors (8869702032).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4161606768 is a wasteful number, since it uses less digits than its factorization.

4161606768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 875787 (or 875775 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 4161606768 is about 64510.5167240195. The cubic root of 4161606768 is about 1608.4973400352.

The spelling of 4161606768 in words is "four billion, one hundred sixty-one million, six hundred six thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 88 99 108 132 144 176 198 216 264 297 396 432 528 594 792 1188 1584 2376 4752 875759 1751518 2627277 3503036 5254554 7006072 7881831 9633349 10509108 14012144 15763662 19266698 21018216 23645493 28900047 31527324 38533396 42036432 47290986 57800094 63054648 77066792 86700141 94581972 115600188 126109296 154133584 173400282 189163944 231200376 260100423 346800564 378327888 462400752 520200846 693601128 1040401692 1387202256 2080803384 4161606768